与形状优化和尺寸优化相比，拓扑优化具有更大的优化效益，成为优化领域研究的热点。
Topology optimization as a hot topic of structural optimization is well known for its great flexibility over shape optimization and size optimization.
这类问题不同于一般意义的拓扑优化问题，其优化结果不仅得到最优拓扑，而且得到最优形状和尺寸。
Different from the general topology optimization design, both the optimal topology and the optimal shape and size can be obtained.
采用拓扑优化和形状优化相结合的集成优化方法，研究了结构优化方法在发动机气缸体轻量化设计中的应用。
An integrated method of topology optimization and shape optimization was presented to study the application of structure optimization to the light-weight design of engine block.
与形状优化和尺寸优化相比较，拓扑优化的难度最大，也最具有挑战性。
Compared with shape and size optimization, it is considered as the most difficult and challenging problem.
目前，连续体拓扑优化形成的孔洞多为不规则形状，而飞机机身龙骨结构多为规则栅格状。
At present, holes generating in topology optimization is mostly irregular geometric. However fuselage keel structure is generally regular grid.
在有限元方法的基础上，利用变密度法对单搭接胶接接头搭接区域的被粘物形状进行了拓扑优化，通过曲线拟合得到了较为合理的轮廓。
Based on finite element method, variable density method was employed to optimize the configuration of adherends in overlap region, and the curve fitting was applied to attain proper configuration.
以薄壳结构整体应变能最小为目标，建立了薄壳屋盖的形状优化与拓扑优化模型，并提出了薄壳屋盖形状优化与拓扑优化的的求解方法。
In this paper, aimed at minimizing the whole strain energy of thin shell structure, the model of shape optimization and the topology optimization were built up.
其次，在一般连续体拓扑优化的基础上，对孔洞的形状施加几何约束，开展了带规则几何约束的连续体频率拓扑优化研究。
Secondly, based on the common topology optimization of continuum, by restricting hole's shape, frequency topology optimization with regular geometrical constraints is studied.
其次，在一般连续体拓扑优化的基础上，对孔洞的形状施加几何约束，开展了带规则几何约束的连续体频率拓扑优化研究。
Secondly, based on the common topology optimization of continuum, by restricting hole's shape, frequency topology optimization with regular geometrical constraints is studied.
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